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Finding the Fourth Proportional to 10,303.60, 15,446.16 and 3,728.24

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Solution

The fourth proportional to 10,303.60, 15,446.16 and 3,728.24 is: 5,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.60 : 15,446.16 = 3,728.24 : x
  2. Step 2: Convert to fraction form
    10,303.60/15,446.16 = 3,728.24/x
  3. Step 3: Cross multiply
    10,303.60x = 15,446.16 × 3,728.24
  4. Step 4: Simplify right side
    10,303.60x = 57,586,991.56
  5. Step 5: Solve for x
    x = 57,586,991.56/10,303.60
  6. Step 6: Final answer
    x = 5,589.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.